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On the curve y= (1)/(1+ x^(2)), the poin...

On the curve `y= (1)/(1+ x^(2)),` the point at which `|(dy)/(dx )|` is greatest in the first quadrant is :

A

`((1)/(2), (4)/(5))`

B

`(1, (1)/(4))`

C

`((1)/(sqrt2), (2)/(3))`

D

`((1)/( sqrt3), (3)/(4))`

Text Solution

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The correct Answer is:
D
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